#### Solution for 278 is what percent of 8:

278:8*100 =

(278*100):8 =

27800:8 = 3475

Now we have: 278 is what percent of 8 = 3475

Question: 278 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={8}.

Step 4: In the same vein, {x\%}={278}.

Step 5: This gives us a pair of simple equations:

{100\%}={8}(1).

{x\%}={278}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{8}{278}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{278}{8}

\Rightarrow{x} = {3475\%}

Therefore, {278} is {3475\%} of {8}.

#### Solution for 8 is what percent of 278:

8:278*100 =

(8*100):278 =

800:278 = 2.88

Now we have: 8 is what percent of 278 = 2.88

Question: 8 is what percent of 278?

Percentage solution with steps:

Step 1: We make the assumption that 278 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={278}.

Step 4: In the same vein, {x\%}={8}.

Step 5: This gives us a pair of simple equations:

{100\%}={278}(1).

{x\%}={8}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{278}{8}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{8}{278}

\Rightarrow{x} = {2.88\%}

Therefore, {8} is {2.88\%} of {278}.

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